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18032648704 = 2977963689
BaseRepresentation
bin10000110010110101…
…000110001000000000
31201112201121110121221
4100302311012020000
5243412324224304
612141210124424
71205602661560
oct206265061000
951481543557
1018032648704
117713a61964
1235b3120714
131914c22045
14c30cc8da0
157081a7054
hex432d46200

18032648704 has 80 divisors (see below), whose sum is σ = 41699116800. Its totient is φ = 7630331904.

The previous prime is 18032648693. The next prime is 18032648713. The reversal of 18032648704 is 40784623081.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251292 + ... + 314980.

It is an arithmetic number, because the mean of its divisors is an integer number (521238960).

Almost surely, 218032648704 is an apocalyptic number.

18032648704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18032648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849558400).

18032648704 is an abundant number, since it is smaller than the sum of its proper divisors (23666468096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18032648704 is an frugal number, since it uses more digits than its factorization.

18032648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63793 (or 63777 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 18032648704 in words is "eighteen billion, thirty-two million, six hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 512 553 632 896 1106 1264 1792 2212 2528 3584 4424 5056 8848 10112 17696 20224 35392 40448 63689 70784 127378 141568 254756 283136 445823 509512 891646 1019024 1783292 2038048 3566584 4076096 5031431 7133168 8152192 10062862 14266336 16304384 20125724 28532672 32608768 35220017 40251448 57065344 70440034 80502896 114130688 140880068 161005792 228261376 281760136 322011584 563520272 644023168 1127040544 1288046336 2254081088 2576092672 4508162176 9016324352 18032648704